Phase-Shift Analysis of the Scattering of Negative Pions on Hydrogen

Abstract

A phase-shift analysis of the scattering of negative pions on hydrogen in the energy range 120 to 217 Mev is presented. The usual assumptions that the scattering is charge-independent and that scattering in $S$ and $P$ states only is important are made and in addition the $P$-wave phase shifts of isotopic spin ½ assumed to be zero. Of many approximate solutions obtained a solution showing a resonance in the $P$ state of ordinary spin $\frac{3}{2}$ and isotopic spin $\frac{3}{2}$ in the neighborhood of 195 Mev is considered to have the highest probability of being correct.